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The game that eventually became Dandy had been written in the fall of 1982 as Thesis of Terror, Jack Palevich's MIT bachelor's thesis. [6] The concept was for a five-person game: four players using an Atari computer as graphical terminal, and a fifth player acting as dungeon master controlling the action from a separate computer. [ 7 ]
Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if another player loses. A constant sum game can be converted into a zero sum game by subtracting a fixed value from all payoffs, leaving their relative order unchanged.
Separately, game theory has played a role in online algorithms; in particular, the k-server problem, which has in the past been referred to as games with moving costs and request-answer games. [125] Yao's principle is a game-theoretic technique for proving lower bounds on the computational complexity of randomized algorithms , especially online ...
In relation to game theory, refers to the question of the existence of an algorithm that can and will return an answer as to whether a game can be solved or not. [1] Determinacy A subfield of set theory that examines the conditions under which one or the other player of a game has a winning strategy, and the consequences of the existence of ...
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An important problem in the theory of cooperative dynamic games is the time-consistency of a given imputation function (in Russian literature it is termed dynamic stability of optimality principle). Let say that a number of players has made a cooperative agreement at the start of the game.
Consider a transferable utility cooperative game (,) where denotes the set of players and is the characteristic function.An imputation is dominated by another imputation if there exists a coalition , such that each player in weakly-prefers (for all ) and there exists that strictly-prefers (<), and can enforce by threatening to leave the grand coalition to form (()).
Figure 1: A game tree which depicts each player's possible information set by showing the options at each vertex (A and B for player's 1 and 2 respectively) Information sets are used in extensive form games and are often depicted in game trees. Game trees show the path from the start of a game and the subsequent paths that can be made depending ...